64=(x+4)*(x+4)

Solution for 64=(x+4)*(x+4) equation:

Simplifying
64 = (x + 4)(x + 4)

Reorder the terms:
64 = (4 + x)(x + 4)

Reorder the terms:
64 = (4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
64 = (4(4 + x) + x(4 + x))
64 = ((4 * 4 + x * 4) + x(4 + x))
64 = ((16 + 4x) + x(4 + x))
64 = (16 + 4x + (4 * x + x * x))
64 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
64 = (16 + 8x + x2)

Solving
64 = 16 + 8x + x2

Solving for variable 'x'.

Combine like terms: 64 + -16 = 48
48 + -8x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
48 + -8x + -1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
48 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
48 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
48 + -8x + -1x2 = 0 + x2 + -1x2
48 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -8x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(12 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {4, -12}